Aug 02, 2010
RAY: This is from my chicken-egg series.
A chicken and a half can lay an egg and a half in a day and a half. How long will it take for two chickens to lay 32 eggs?
TOM: I want to see that half egg!
RAY: I want to see that half chicken!
Here's the question: How long will it take two chickens to lay thirty-two eggs?
A chicken and a half can lay an egg and a half in a day and a half. How long will it take for two chickens to lay 32 eggs?
TOM: I want to see that half egg!
RAY: I want to see that half chicken!
Here's the question: How long will it take two chickens to lay thirty-two eggs?
Answer:
RAY: Here's the answer. If a chicken and a half can lay an egg and a half in a day and a half, let's double the number of chickens, to three chickens. Because one and a half chickens laid one and a half eggs, three chickens laid three eggs in how long?
TOM: In a day and a half.
RAY: Exactly. So if we have three chickens laying three eggs in a day and a half, then clearly one chicken lays one egg in a day and a half. And two chickens will lay four eggs in three days. So, if two chickens can lay four eggs in three days, then two chickens can lay 32 eggs in 24 days.
TOM: In a day and a half.
RAY: Exactly. So if we have three chickens laying three eggs in a day and a half, then clearly one chicken lays one egg in a day and a half. And two chickens will lay four eggs in three days. So, if two chickens can lay four eggs in three days, then two chickens can lay 32 eggs in 24 days.